Mathematics

Studente che entra in facoltà
Bachelor
A.Y. 2020/2021
L-35 - Mathematics
Bachelor
180
ECTS
Access
Open with admission self-assessment test
3
Years
Course location
Milano
Language
Italian
The main objectives of the Degree Program in Mathematics are to furnish a solid foundation in the mathematical sciences, to introduce the modern formulation of the discipline, to encourage an active contact with various aspects of the field (including theoretical rigor and attention to applications), and to provide the preparation necessary to comprehend future developments in the field.
The Degree in Mathematics enables employment in both the public and private sectors for positions which require capacity for abstract reasoning, formulation and/or modelling of concrete problems and their solution though the use of tools coming from the mathematical sciences.
Recipients of the Degree in Mathematics find careers in: banks, insurance companies, polling and survey institutes, consulting and accrediting firms, software development companies, medical, biomedical and pharmacological institutes and companies, in the green economy, and in research and development divisions of large corporations, and specific industries such as transportation, telecommunication, and aerospace.
A significant portion of degree recipients in Mathematics continue their studies by enrolling in a Masters Degree Program.
Employment statistics (Almalaurea)

High-school diploma or equivalent qualification obtained abroad .

Adequate knowledge, in accordance with ministerial high-school syllabi (for mathematics and physics) as well as good scientific reasoning skills

Skills assessment 

Admission to the Bachelor's degree programme in Mathematics is subject to a mandatory, non-selective, assessment test before enrolment. Candidates will have to sit for the TOLC - CISIA Online Test at the University of Milan or any other member university of CISIA (inter-university consortium for integrated access systems). You can register to the TOLC test on the CISIA website (www.cisiaonline.it).

The tests providing access to the degree programme in Mathematics are: TOLC-S, and TOLC-I.

Only after taking one of these tests, will you be able to enrol, WHATEVER THE RESULT:

  • TOLC-S, divided into 4 sections: Basic mathematics (20 questions - 50 minutes), Reasoning and problems (10 questions - 20 minutes), Reading comprehension (10 questions - 20 minutes), Basic sciences (chemistry, physics and geology - 10 questions - 20 minutes).
  • TOLC-I divided into 4 sections: Mathematics (20 questions - 50 minutes), Logic (10 questions - 20 minutes), Science (10 questions - 20 minutes), Listening comprehension (10 questions - 20 minutes).

Each question has 5 answer options, of which only one is correct. Score: correct answer+1, wrong answer -0.25, no answer 0.

Each TOLC test includes an additional English section, consisting of 30 questions to be answered in 15 minutes. This section does not count toward the overall test score.

Test structure and topics: //www.cisiaonline.it/area-tematica-tolc-scienze/struttura-della-prova-e-syllabus/

Enrolment procedures and deadlines will be provided in the call for applications published on the University website at: https://www.unimi.it/en/study/enrolment.

Additional learning requirements (OFA)

Students who have not achieved at least 10 points in the Mathematics module will have to fulfil additional learning requirements (OFA).

These requirements can be met by passing part A (Syllabus) of the Basic Mathematics exam by December 2020. Students who do not fulfil OFA will not be able to take any second-year exam before passing one of the following exams: Algebra I, Mathematical Analysis I, Geometry I.

The Bachelor of Science in Mathematics has long been committed to characterize its educational activities in an international framework under the Erasmus program. We activated several agreements with other universities in Europe. In particular, we have exchange agreements within the disciplines of both curricula: with Austria, Britain, Spain, Portugal, France, Germany, Holland, Denmark, Polonia, Slovenia, Sweden, Norway and Finland.

See the website http://users.unimi.it/erasmusmat/ for collected information on locations and how to recognize the activities carried out abroad.

Highly recommended, not mandatory

Courses list

First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 6 60 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Optional
Mathematical Methods and Models for the Applications 6 60 Italian MAT/07
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Geometry 4 9 93 Italian MAT/03
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Probability 9 93 Italian MAT/06
Optional
Topics in Scientific Computing 6 60 Italian MAT/08
Study plan rules
1 - The student must obtain 9 credits with a course of choice among the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algebra 3 9 93 Italian First semester MAT/02
Mathematical Statistics 9 93 Italian First semester MAT/06
Mathematical Physics 3 9 93 Italian Second semester MAT/07
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Optional
Mathematical Statistics 9 93 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Mathematical Physics 3 9 93 Italian MAT/07
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period SSD
Geometry 5 9 78 Italian First semester MAT/03
Mathematical methods and models for applications 6 60 Italian First semester MAT/07
Programming 2 6 60 Italian First semester INF/01
Algebra 4 6 60 Italian Second semester MAT/02
Constructive Approximation 6 60 Italian Second semester MAT/08
Introduction to Image Processing 6 63 Italian Second semester MAT/03 MAT/08
Numerical Linear Algebra 6 60 English Second semester MAT/08
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 3 9 93 Italian MAT/02
Geometry 5 9 78 Italian MAT/03
Mathematical methods and models for applications 6 60 Italian MAT/07
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algorithms 9 93 Italian INF/01
Constructive Approximation 6 60 Italian MAT/08
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Undefined
Courses or activities ECTS Total hours Language SSD
Compulsory
English assessment B1 (3 ECTS) 3 0 Italian
Optional
Educational Training 3 0 Italian
Essay Written under the Direction of a Staff Member 3 0 Italian
Study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algorithms 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
4 - The student must obtain 6 credits with one or more of the following F-type activities:
Courses or activities ECTS Total hours Language Lesson period SSD
Mathematical Methods and Models for the Applications 6 60 Italian First semester MAT/07
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Laboratory of Mathematical Statistics 3 36 Italian Second semester MAT/06
Topics in Scientific Computing 6 60 Italian Second semester MAT/08
Educational Training 3 0 Italian Undefined
Essay Written under the Direction of a Staff Member 3 0 Italian Undefined
For the students who matriculated from the Academic Year 2029/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 1 9 93 Italian MAT/02
Elements of Basic Mathematics 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 1 6 63 Italian MAT/03
Mathematical Analysis 1 9 93 Italian MAT/05
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 1 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Geometry 2 9 93 Italian MAT/03
Mathematical Analysis 2 6 63 Italian MAT/05
Programming 1 6 63 Italian INF/01
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Algebra 2 6 63 Italian MAT/02
Geometry 3 6 60 Italian MAT/03
Mathematical Analysis 3 9 93 Italian MAT/05
Numerical Analysis 1 9 96 Italian MAT/08
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Mathematical Analysis 4 6 60 Italian MAT/05
Mathematical Physics 1 6 60 Italian MAT/07
Numerical Analysis 2 9 96 Italian MAT/08
Probability 9 93 Italian MAT/06
Optional
Introduction to Image Processing 6 63 Italian MAT/03 MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Compulsory
General Physics 2 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Mathematical Physics 2 6 60 Italian MAT/07
Mathematical Statistics 9 93 Italian MAT/06
Second semester
Courses or activities ECTS Total hours Language SSD
Compulsory
Laboratory of Mathematical Statistics 3 36 Italian MAT/06
Optional
General Physics 3 9 93 Italian FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
Conclusive activities
Courses or activities ECTS Total hours Language SSD
Compulsory
Final Exam 3 0 Italian
Study plan rules
3 - In the second and third year of the course the student must acquire 18 credits free of choice.
The following table shows the teachings specifically activated by CDM. The student can also freely choose among all the teachings activated by the university, and in particular among those activated by the CDM in mathematics for a curriculum different from that followed by the student (it is noted that the course of Geometry 4 (first part) is Available only for students of the application curriculum) and among those of the magistral in mathematics.
With regard to the courses of analysis it is advisable to follow real analysis and/or complex analysis.
The choice is subject to the approval of the CDM.
It is noted that the teaching of mathematical methods and models for applications is incompatible with the activity of mathematical methods and models for applications (which is one of the activities of choice for obtaining F-type credits) and, similarly, The teaching of scientific calculation is incompatible with the activity of scientific calculation.
Courses or activities ECTS Total hours Language Lesson period SSD
Geometry 5 9 78 Italian First semester MAT/03
Mathematical methods and models for applications 6 60 Italian First semester MAT/07
Programming 2 6 60 Italian First semester INF/01
Algebra 4 6 60 Italian Second semester MAT/02
Constructive Approximation 6 60 Italian Second semester MAT/08
Introduction to Image Processing 6 63 Italian Second semester MAT/03 MAT/08
Numerical Linear Algebra 6 60 English Second semester MAT/08
Scientific Computing 6 60 Italian Second semester MAT/08
First semester
Courses or activities ECTS Total hours Language SSD
Optional
Geometry 5 9 78 Italian MAT/03
Mathematical methods and models for applications 6 60 Italian MAT/07
Programming 2 6 60 Italian INF/01
Second semester
Courses or activities ECTS Total hours Language SSD
Optional
Algebra 4 6 60 Italian MAT/02
Algorithms 9 93 Italian INF/01
Constructive Approximation 6 60 Italian MAT/08
Elements of Basic Mathematics 2 3 27 Italian MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Geometry 4 9 93 Italian MAT/03
Numerical Linear Algebra 6 60 English MAT/08
Scientific Computing 6 60 Italian MAT/08
Undefined
Courses or activities ECTS Total hours Language SSD
Compulsory
English assessment B1 (3 ECTS) 3 0 Italian
Optional
Educational Training 3 0 Italian
Essay Written under the Direction of a Staff Member 3 0 Italian
Internship in Industry 3 0 Italian
Study plan rules
2 - The student must obtain 9 credits by choosing a course from the following:
Courses or activities ECTS Total hours Language Lesson period SSD
Algorithms 9 93 Italian Second semester INF/01
General Physics 3 9 93 Italian Second semester FIS/01 FIS/02 FIS/03 FIS/04 FIS/05 FIS/06 FIS/07 FIS/08
5 - The student must obtain 3 credits with one or more of the following F-type activities.
Courses or activities ECTS Total hours Language Lesson period SSD
Elements of Basic Mathematics 2 3 27 Italian Second semester MAT/01 MAT/02 MAT/03 MAT/04 MAT/05 MAT/06 MAT/07 MAT/08 MAT/09
Educational Training 3 0 Italian Undefined
Essay Written under the Direction of a Staff Member 3 0 Italian Undefined
Internship in Industry 3 0 Italian Undefined
For the students who matriculated from the Academic Year 2029/2020 on, passing the exam of the course "Elementi di Matematica di Base" is mandatory for the exams of all the courses of the second and the third year. This rule applies to all the Curricula. Furthermore, the students should take into account the teachers' suggestions regarding possible preliminary useful courses.
Location
Milano
Contacts
  • Commissione Verifica Lingua Inglese
    CIRAOLO Giulio (Presidente), STELLARI Paolo
  • Commissione Trasferimenti e Riconoscimento Titoli Esteri
    BIANCHI Mariagrazia (Presidente), ZAMPIERI Elena
  • Commissione Orientamento e Stage
    TORTORA Alfonso (Presidente), NALDI Giovanni, MICHELETTI Alessandra, MASTROLIA Paolo, PENATI Tiziano
  • Commissione Organizzazione Prova Finale Laurea in Matematica
    CALANCHI Marta (Presidente), BERTOLINI Marina, LOVADINA Carlo
  • Commissione Piani di studio laurea Triennale
    SALVATORI Maura (Presidente), BERTOLINI Marina, CAUSIN Paola
  • Commissione Prova Finale Laurea in Matematica
    C. TARSI (Presidente), N. BRESSAN, A. CARATI, D. MORALE, E. PACIFICI, E. TERRANEO, A. ALZATI
  • Commissione Socrates-Erasmus
    GAETA Giuseppe (Presidente), CIRAOLO Giulio, GORI Anna, MATESSI Diego, SCACCHI Simone
  • Commissione Altre Attività e Conferimento Crediti
    SCACCHI Simone (Presidente), MOLTENI Giuseppe, TORTORA Alfonso
  • Commissione Organizzazione Test di Accesso
    TERRANEO Elide (Presidente), BRESSAN Nicoletta
  • Commissione Orario
    ZAMPIERI Elena (Presidente), MORALE Daniela
  • Docente responsabile Organizzazione Homeworks
    PACIFICI Emanuele
  • Docente responsabile Piano Lauree Scientifiche
    CAUSIN Paola
  • Docenti responsabili Tirocinio Didattico
    MANTOVANI Sandra, RIZZO Ottavio
  • Secretary of the course of study
    via Cesare Saldini 50
    segrccd.mat@unimi.it
    +390250316107
    09.30-11.30
  • https://matematica.cdl.unimi.it/it
  • Docenti responsabili Pagine Web e Sito Internet
    PALEARI Simone, TURRINI Cristina

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Learn more

Enrollment
First year enrolment:
Admission
Open with admission self-assessment test

Call for applications

Please refer to the call for admission test dates and contents, and how to register.

Application for admission: please refer to the call

Application for matriculation: from 15/07/2020 to 09/10/2020

Read the Call